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The set of periods of chaotic operators and semigroups

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

Abstract

This expository paper is devoted to the review of some very recent results concerning the set of periods of a chaotic operator T or a chaotic semigroup {T (t): t ≥  0} acting on a complex Banach space. We obtain information about the structure of the set of periods and we give techniques to construct (chaotic) strongly continuous semigroups with prescribed periods.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad Complutense de Madrid, Plaza Ciencias 3, 28040, Madrid, Spain

    Gustavo A. Muñoz-Fernández & Juan B. Seoane-Sepúlveda

  2. Institut für Algebra und Geometrie, KIT, Kaiserstr. 89-93, 76128, Karlsruhe, Germany

    Andreas Weber

Authors
  1. Gustavo A. Muñoz-Fernández
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  2. Juan B. Seoane-Sepúlveda
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  3. Andreas Weber
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Correspondence to Juan B. Seoane-Sepúlveda.

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Muñoz-Fernández, G.A., Seoane-Sepúlveda, J.B. & Weber, A. The set of periods of chaotic operators and semigroups. RACSAM 105, 397–402 (2011). https://doi.org/10.1007/s13398-011-0016-8

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  • DOI: https://doi.org/10.1007/s13398-011-0016-8

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